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What’s it asking?Information given from the problem: Steps to solve: What do I need to know/how do I use it? To identify if the equations of the lines are parallel To understand what makes lines parallel Given the two equations: y = 3x + 2 y = 3x – 5 The equations of the line The slope of each line The y-intercept of each line The definition of parallel lines: Lines are parallel if they have the exact same slope. The equations of the lines, written in slope- Intercept form: y = 3x + 2 y = 3x – 5 1.Find the slope of each line and circle it. 2.Ask yourself the following questions: -Are both slopes the same number? -Are both slopes positive or negative? 3.If you answered yes to both questions, the lines are parallel. 4. Mark that the lines are parallel by using the Symbol for parallel lines: //

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What’s it asking?Information given from the problem: Steps to solve: What do I need to know/how do I use it? To identify if the equations of the lines are perpendicular To understand what makes lines perpendicular The equations of the line The slope of each line The y-intercept of each line The definition of perpendicular lines: Lines are perpendicular if their slopes are opposite AND reciprocals. The definition of opposite: One number is positive and one number is negative The definition of reciprocal: One fraction is flipped from the original Example of opposite reciprocals: 2 -3 3 2 Given the two equations: y = 3x + 2 4 y = -4x – 5 3 1.Find the slope of each line and circle it. 2.Ask yourself the following questions: -Are the slopes opposite of each other? -Are the slopes reciprocals of each other? 3.If you answered yes to both questions, the lines are parallel. 4. Mark that the lines are perpendicular by using the Symbol for perpendicular lines: |

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What’s it asking?Information given from the problem: Steps to solve: What do I need to know/how do I use it? Given the points (4, 2) and (6, 4) Two points on the line: (4, 2) and (6, 4) To find the slope of the line To identify the x’s and y’s 1.Label your x’s and y’s 2.Plug the numbers into the slope formula 3.Solve to find the slope Slope Formula: y 2 – y 1 x 2 – x 1 How to label your points: (x 1, y 1 ) (x 2, y 2 )

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y x y=x-2 y=x+2 Slopes are the same y x y=2x-4 y=2x+1 Slopes are the same.

y x y=x-2 y=x+2 Slopes are the same y x y=2x-4 y=2x+1 Slopes are the same.

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